{"id":"W2077355347","doi":"10.1145/2427023.2427028","title":"A Runge-Kutta BVODE Solver with Global Error and Defect Control","year":2013,"lang":"en","type":"article","venue":"ACM Transactions on Mathematical Software","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs","keywords":"Solver; Discretization; Extrapolation; Ordinary differential equation; Ode; Boundary value problem; Runge–Kutta methods; Mathematics; Applied mathematics; A priori and a posteriori; Exact solutions in general relativity; Numerical analysis; Differential equation; Mathematical analysis; Mathematical optimization","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002085553,0.0003711474,0.0005730451,0.00007071104,0.0002809826,0.0001208881,0.0003237137,0.000178321,0.001795746],"category_scores_gemma":[0.001049805,0.0002647343,0.0002285661,0.0003174877,0.0002340056,0.0002432904,0.00001539209,0.0003425316,0.0004003303],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009748645,"about_ca_system_score_gemma":0.00003969259,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003246603,"about_ca_topic_score_gemma":0.00002828305,"domain_scores_codex":[0.9979934,0.0001663409,0.0004476362,0.0004400698,0.0004696691,0.0004829282],"domain_scores_gemma":[0.9960248,0.002560928,0.0001172522,0.0008224481,0.0001364585,0.0003380841],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002866751,0.003119631,0.0009902947,0.001062395,0.001385207,0.00002011539,0.00080579,0.0001121539,0.0003540483,0.02030309,0.0001581704,0.9714024],"study_design_scores_gemma":[0.001220973,0.0003192906,0.0009097393,0.0001375254,0.0004639931,0.00004908444,0.0001075004,0.0005522168,0.0001199437,0.9957349,0.00004524745,0.0003396198],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.03812047,0.0000222245,0.9591363,0.001035532,0.00005590359,0.001030186,0.00007539922,0.0004252857,0.00009869155],"genre_scores_gemma":[0.1491297,0.000003027421,0.8499005,0.0002308424,0.00002343689,0.0004154107,0.000002772698,0.0000551677,0.0002391915],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.9754318,"threshold_uncertainty_score":0.9999805,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04279397292169582,"score_gpt":0.3221246364846401,"score_spread":0.2793306635629442,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}